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Expand (x-4)^4 with binomial theorem or pascal's triangle SHOW ALL STEPS!

PLS HELP ASAP WILL GIVE BRAINLIEST TO WHOEVER SHOWS ALL STEPS!

Respuesta :

Answer:

x^4 - 16x^3 + 96x^2 -256x + 256

Step-by-step explanation:

The coefficients of this using the pascal triangle is ;

1 4 6 4 1

Thus, we have that;

1(x^4•(-4)^0) + 4(x^3)(-4)^1 + 6(x^2)(-4^2) + 4(x^1)(-4)^3 + 1(x^0)(-4)^4

= x^4 - 16x^3 + 96x^2 -256x + 256

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